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Finding the Fourth Proportional to 5,971.14, 8,956.92 and 1,588.62

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Solution

The fourth proportional to 5,971.14, 8,956.92 and 1,588.62 is: 2,382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.14 : 8,956.92 = 1,588.62 : x
  2. Step 2: Convert to fraction form
    5,971.14/8,956.92 = 1,588.62/x
  3. Step 3: Cross multiply
    5,971.14x = 8,956.92 × 1,588.62
  4. Step 4: Simplify right side
    5,971.14x = 14,229,142.25
  5. Step 5: Solve for x
    x = 14,229,142.25/5,971.14
  6. Step 6: Final answer
    x = 2,382.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.